Efficient n-th Root Computation Microcontrollers Using Magic Constants & Newton #WorldResearchAwards
Introduction The rapid expansion of embedded systems in IoT modules , smart sensors , and wearable devices has intensified the need for fast and accurate numerical computations on platforms with limited computational resources. Among these operations, n-th root computation plays a crucial role in many scientific and engineering tasks. Conventional library functions often fail to meet stringent real-time and efficiency requirements. This research addresses these challenges by proposing optimized floating-point algorithms tailored for microcontroller-based environments . Magic-Constant-Based Initial Estimation A key contribution of this work is the use of a carefully designed “ magic constant ” to generate an efficient initial approximation for n-th root calculations. This approach significantly reduces the number of iterations required for convergence. By leveraging properties of floating-point representations, the method provides a strong starting point that balances simplicity, s...